Details

analyze5.0s (6.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	25%	75%	2
0%	25%	75%	3
0%	25%	75%	4
0%	25%	75%	5
0%	25%	75%	6
0%	25%	75%	7
0%	25%	75%	8
1.6%	23.4%	75%	9
1.6%	23.4%	75%	10
1.6%	23.4%	75%	11
1.6%	23.4%	75%	12
1.6%	23.4%	75%	13
1.6%	23.4%	75%	14

Compiler

Compiled 50 to 40 computations (20% saved)

sample8.0s (10.9%)

Algorithm

1×

intervals

Results

6.0s	475×	body	8192	exit
801.0ms	378×	body	1024	overflowed
549.0ms	2135×	body	128	overflowed
236.0ms	202×	body	512	overflowed
111.0ms	3546×	pre	128	true
56.0ms	98×	body	256	overflowed
40.0ms	251×	body	128	valid
2.0ms	1×	body	1024	valid
2.0ms	1×	body	2048	valid
1.0ms	1×	body	512	valid
1.0ms	2×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify75.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5030	68

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 4.2b

Counts

2 → 1

Compiler

Compiled 86 to 70 computations (18.6% saved)

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.5b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
0.7b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
1.9b	(/.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))

rewrite164.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

844×	`add-exp-log_binary64`
480×	`prod-exp_binary64`
454×	`pow-exp_binary64`
354×	`div-exp_binary64`
258×	`pow-to-exp_binary64`
98×	`rec-exp_binary64`
42×	`*-un-lft-identity_binary64`
36×	`unpow-prod-down_binary64`
33×	`add-sqr-sqrt_binary64`
29×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
16×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `pow-pow_binary64` `difference-of-squares_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-inv_binary64`
2×	`flip3-+_binary64` `sqr-pow_binary64` `inv-pow_binary64` `distribute-lft-out--_binary64` `pow-flip_binary64` `flip-+_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `flip--_binary64`

Counts

4 → 364

Calls

4 calls:

54.0ms	(/.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
13.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
9.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
9.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)

series1.9s (2.6%)

Counts

4 → 12

Calls

4 calls:

1.6s	(/.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
123.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
105.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
57.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

simplify177.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

376 → 376

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5425	20357

prune1.4s (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	373	3	376
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	374	3	377

Merged error: 0.1b

Counts

377 → 3

Compiler

Compiled 16507 to 10508 computations (36.3% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))

rewrite10.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 s 1/2) (-.f64 c_p c_n))

series84.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

84.0ms

(*.f64 (*.f64 s 1/2) (-.f64 c_p c_n))

simplify53.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4974	319
1	4974	319

prune26.0ms (0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Merged error: 0.1b

Counts

30 → 3

Compiler

Compiled 438 to 284 computations (35.2% saved)

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
1.0b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
12.6b	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
12.6b	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite72.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
38×	`log-prod_binary64`
36×	`add-sqr-sqrt_binary64`
15×	`associate--r+_binary64` `associate--l+_binary64`
14×	`pow1_binary64` `difference-of-squares_binary64`
12×	`distribute-lft-out--_binary64` `log-div_binary64`
10×	`add-cube-cbrt_binary64` `log-pow_binary64`
8×	`times-frac_binary64`
6×	`add-exp-log_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `flip3--_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `rem-log-exp_binary64` `div-inv_binary64`

Counts

4 → 100

Calls

4 calls:

33.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
13.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
5.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
5.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

series574.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

274.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
130.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
87.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
83.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

simplify95.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4862	3125
1	4862	3125

prune312.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	113	2	115

Merged error: 0.0b

Counts

115 → 2

Compiler

Compiled 5635 to 3713 computations (34.1% saved)

localize28.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
0.2b	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
0.3b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
12.6b	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))

rewrite89.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`add-sqr-sqrt_binary64`
52×	`*-un-lft-identity_binary64`
44×	`log-prod_binary64`
31×	`difference-of-squares_binary64`
20×	`times-frac_binary64`
14×	`distribute-lft-out--_binary64`
11×	`associate--r+_binary64` `associate--l+_binary64`
10×	`pow1_binary64`
8×	`add-cube-cbrt_binary64` `log-div_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `log-pow_binary64` `add-exp-log_binary64` `flip--_binary64`
5×	`div-inv_binary64`
4×	`add-cbrt-cube_binary64`
2×	`sub-neg_binary64` `associate--l-_binary64` `diff-log_binary64` `associate--r-_binary64` `rem-log-exp_binary64`

Counts

4 → 105

Calls

4 calls:

34.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
13.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
13.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
13.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

series667.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

268.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
176.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
164.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
60.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

simplify104.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5041	3532

prune311.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	117	2	119

Merged error: 0.0b

Counts

119 → 2

Compiler

Compiled 5663 to 4016 computations (29.1% saved)

regimes45.0ms (0.1%)

Compiler: Compiled 280 to 276 computations (1.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	151	42
1	151	42

end0.0ms (0%)

sample54.1s (73.8%)

Algorithm

1×

intervals

Results

40.9s	3292×	body	8192	exit
5.2s	2557×	body	1024	overflowed
3.7s	14921×	body	128	overflowed
1.6s	1359×	body	512	overflowed
762.0ms	24506×	pre	128	true
378.0ms	660×	body	256	overflowed
265.0ms	1676×	body	128	valid
35.0ms	17×	body	1024	valid
20.0ms	3×	body	4096	valid
14.0ms	1×	body	8192	valid
8.0ms	8×	body	512	valid
7.0ms	1×	body	2048	overflowed
7.0ms	3×	body	2048	valid
2.0ms	5×	body	256	valid
1.0ms	3×	body	128	invalid

Compiler

Compiled 50 to 44 computations (12% saved)

Details

analyze5.0s (6.9%)

sample8.0s (10.9%)

simplify75.0ms (0.1%)

prune5.0ms (0%)

localize26.0ms (0%)

rewrite164.0ms (0.2%)

series1.9s (2.6%)

simplify177.0ms (0.2%)

prune1.4s (1.9%)

localize7.0ms (0%)

rewrite10.0ms (0%)

series84.0ms (0.1%)

simplify53.0ms (0.1%)

prune26.0ms (0%)

localize29.0ms (0%)

rewrite72.0ms (0.1%)

series574.0ms (0.8%)

simplify95.0ms (0.1%)

prune312.0ms (0.4%)

localize28.0ms (0%)

rewrite89.0ms (0.1%)

series667.0ms (0.9%)

simplify104.0ms (0.1%)

prune311.0ms (0.4%)

regimes45.0ms (0.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample54.1s (73.8%)

end0.0ms (0%)

Profiling